03879nam 22007095 450 991029996590332120200703174840.03-319-04498-210.1007/978-3-319-04498-9(CKB)3710000000227343(SSID)ssj0001338612(PQKBManifestationID)11710530(PQKBTitleCode)TC0001338612(PQKBWorkID)11338207(PQKB)10888874(DE-He213)978-3-319-04498-9(MiAaPQ)EBC6314552(MiAaPQ)EBC5587478(Au-PeEL)EBL5587478(OCoLC)890467597(PPN)18062802X(EXLCZ)99371000000022734320140829d2014 u| 0engurnn#008mamaatxtccrAbstract Algebra Structure and Application /by David R. Finston, Patrick J. Morandi1st ed. 2014.Cham :Springer International Publishing :Imprint: Birkhäuser,2014.1 online resource (IX, 187 p. 45 illus.)Springer Undergraduate Texts in Mathematics and Technology,1867-5506Bibliographic Level Mode of Issuance: Monograph3-319-04497-4 Identification Numbers and Modular Arithmetic -- Error Correcting Codes -- Rings and Fields -- Linear Algebra and Linear Codes -- Quotient Rings and Field Extensions -- Ruler and Compass Constructions -- Cyclic Codes -- Groups and Cryptography -- The Structure of Groups -- Symmetry.This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences. Applications include: Identification numbers and modular arithmetic (linear) error-correcting codes, including cyclic codes ruler and compass constructions cryptography symmetry of patterns in the real plane Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject, or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.Springer Undergraduate Texts in Mathematics and Technology,1867-5506AlgebraComputer science—MathematicsComputer mathematicsMatrix theoryAlgebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11000Mathematical Applications in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/M13110Linear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Algebra.Computer science—Mathematics.Computer mathematics.Matrix theory.Algebra.Mathematical Applications in Computer Science.Linear and Multilinear Algebras, Matrix Theory.512.02Finston David Rauthttp://id.loc.gov/vocabulary/relators/aut721634Morandi Patrick Jauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299965903321Abstract Algebra2543295UNINA